5 papers
New determinant formulas of Giambelli-type for Schur multiple zeta-functions and their applications
Kohji Matsumoto, Maki Nakasuji
In this article, we will prove the Giambelli formula for Schur multiple zeta-functions of extended shape which we call laced type, using the combinatorial method of proving the Gia…
Values at non-positive integers of partially twisted multiple zeta-functions II
Driss Essouabri, Kohji Matsumoto, Simon Rutard
We study the values at non-positive integer points of multi-variable twisted multiple zeta-functions, whose each factor of the denominator is given by polynomials. The fully twiste…
Schur multiple zeta-functions of Hurwitz type
Kohji Matsumoto, Maki Nakasuji
We study the Hurwitz-type analogue of Schur multiple zeta-functions involving shifting parameters. We extend various formulas, known for ordinary Schur multiple zeta-functions, to…
-functions and screw functions originating from Goldbach's problem and zeros of the Riemann zeta function
Kohji Matsumoto, Masatoshi Suzuki
We study the -functions, which describe the limit theorem for the value-distributions of the secondary main terms in the asymptotic formulas for the summatory functions of the G…
Asymptotic formulas for the logarithm of general L-functions at and near s=1
Kohji Matsumoto, Yumiko Umegaki
We consider a general form of L-function L(s) defined by an Euler product and satisfies several analytic assumptions. We show several asymptotic formulas for L(1) and log L(1). In…